Discuss the below:
A hypothesis states a difference exists between two populations. Sometimes this is an obvious conclusion because the means will be very different. For example, if I gave math tests to boys and girls and the boys on average scored 20 points better than the girls, I know that is enough of a difference to conclude with accuracy that boys are in fact better in math than girls. And I know that a mere 1 or 2 point difference is not enough of a difference to conclude that boys or girls are better. But what if the difference is 5 or 10 points - is that enough of a difference? Now it is not so obvious = and that's why we need to do the t-test.
Give me an example of when you thought something mattered - that it made a difference, but later you were surprised to learn that what you thought mattered, did not? Or an example of time when something did not matter, when in fact, all along it did?